메뉴 건너뛰기




Volumn 191, Issue 1-2, 2000, Pages 189-208

Polynomial integrals of reversible mechanical systems with a two-dimensional torus as the configuration space

(2)  Denisova, N V a   Kozlov, V V a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034342859     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/sm2000v191n02abeh000452     Document Type: Article
Times cited : (17)

References (25)
  • 2
    • 0002560620 scopus 로고
    • Integrable and non-integrable Hamiltonian systems
    • V. V. Kozlov, "Integrable and non-integrable Hamiltonian systems", Soviet Sci. Rev. Sect. C Math. Phys. Rev. 8:1 (1989), 1-81.
    • (1989) Soviet Sci. Rev. Sect. C Math. Phys. Rev. , vol.8 , Issue.1 , pp. 1-81
    • Kozlov, V.V.1
  • 3
    • 85164646983 scopus 로고    scopus 로고
    • Integrals polynomial in velocity for two-degrees-of-freedom dynamical systems whose configuration space is a torus
    • N. V. Denisova, "Integrals polynomial in velocity for two-degrees-of-freedom dynamical systems whose configuration space is a torus", Mat. Zametki 64:1 (1998), 37-44; English transl. in Math. Notes 64 (1998).
    • (1998) Mat. Zametki , vol.64 , Issue.1 , pp. 37-44
    • Denisova, N.V.1
  • 4
    • 85164651503 scopus 로고    scopus 로고
    • N. V. Denisova, "Integrals polynomial in velocity for two-degrees-of-freedom dynamical systems whose configuration space is a torus", Mat. Zametki 64:1 (1998), 37-44; English transl. in Math. Notes 64 (1998).
    • (1998) Math. Notes , vol.64
  • 5
    • 0000188669 scopus 로고
    • Geodesic flows on two-dimensional manifolds with an additional first integral that is polynomial in the velocities
    • V. N. Kolokol'tsov, "Geodesic flows on two-dimensional manifolds with an additional first integral that is polynomial in the velocities", Izv. Akad. Nauk SSSR Ser. Mat. 46:5 (1982), 994-1010; English transl. in Math. USSR-Izv. 21 (1985).
    • (1982) Izv. Akad. Nauk SSSR Ser. Mat. , vol.46 , Issue.5 , pp. 994-1010
    • Kolokol'tsov, V.N.1
  • 6
    • 85164650385 scopus 로고
    • V. N. Kolokol'tsov, "Geodesic flows on two-dimensional manifolds with an additional first integral that is polynomial in the velocities", Izv. Akad. Nauk SSSR Ser. Mat. 46:5 (1982), 994-1010; English transl. in Math. USSR-Izv. 21 (1985).
    • (1985) Math. USSR-Izv. , vol.21
  • 7
    • 0002301246 scopus 로고
    • Complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral
    • I.K. Babenko and N. N. Nekhoroshev, "Complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral", Mat. Zametki 58:5 (1995), 643-652; English transl. in Math. Notes. 58 (1995).
    • (1995) Mat. Zametki , vol.58 , Issue.5 , pp. 643-652
    • Babenko, I.K.1    Nekhoroshev, N.N.2
  • 8
    • 85164635582 scopus 로고
    • I.K. Babenko and N. N. Nekhoroshev, "Complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral", Mat. Zametki 58:5 (1995), 643-652; English transl. in Math. Notes. 58 (1995).
    • (1995) Math. Notes , vol.58
  • 9
    • 0003041882 scopus 로고
    • Polynomial integrals of geodesic flows on a torus
    • V. V. Kozlov and N. V. Denisova, "Polynomial integrals of geodesic flows on a torus", Mat. Sb. 185:12 (1994), 49-64; English transl. in Math. USSR-Sb. 83 (1995).
    • (1994) Mat. Sb. , vol.185 , Issue.12 , pp. 49-64
    • Kozlov, V.V.1    Denisova, N.V.2
  • 10
    • 85164645238 scopus 로고
    • V. V. Kozlov and N. V. Denisova, "Polynomial integrals of geodesic flows on a torus", Mat. Sb. 185:12 (1994), 49-64; English transl. in Math. USSR-Sb. 83 (1995).
    • (1995) Math. USSR-Sb. , vol.83
  • 11
    • 0009094818 scopus 로고
    • Integrability of hamiltonian systems with torial position space
    • 177
    • V. V. Kozlov and D. V. Treshchev, "Integrability of Hamiltonian systems with torial position space", Mat. Sb. 135 (177):1 (1988), 119-138; English transl. in Math. USSR-Sb. 63 (1989).
    • (1988) Mat. Sb. , vol.135 , Issue.1 , pp. 119-138
    • Kozlov, V.V.1    Treshchev, D.V.2
  • 12
    • 85164633366 scopus 로고
    • V. V. Kozlov and D. V. Treshchev, "Integrability of Hamiltonian systems with torial position space", Mat. Sb. 135 (177):1 (1988), 119-138; English transl. in Math. USSR-Sb. 63 (1989).
    • (1989) Math. USSR-Sb. , vol.63
  • 13
    • 12344277228 scopus 로고
    • First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus
    • M. L. Byalyi, "First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus", Funktsional. Anal. i Prilozhen. 21:4 (1987), 64-65; English transl. in Functional Anal. Appl. 49 (1985).
    • (1987) Funktsional. Anal. i Prilozhen. , vol.21 , Issue.4 , pp. 64-65
    • Byalyi, M.L.1
  • 14
    • 85164654990 scopus 로고
    • M. L. Byalyi, "First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus", Funktsional. Anal. i Prilozhen. 21:4 (1987), 64-65; English transl. in Functional Anal. Appl. 49 (1985).
    • (1985) Functional Anal. Appl. , vol.49
  • 16
    • 85164634084 scopus 로고    scopus 로고
    • English transl., Birkhäuser, Basel 1990
    • A. M. Perelomov, Integrable systems of classical mechanics and Lie algebras, Nauka, Moscow 1990; English transl., Birkhäuser, Basel 1990.
  • 17
    • 0002288973 scopus 로고
    • The maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body
    • A. V. Bolsinov, V. V. Kozlov, and A. T. Fomenko, "The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body ", Uspekhi Mat. Nauk 50:3 (1995), 3-32; English transl. in Russian Math. Surv. 50 (1995).
    • (1995) Uspekhi Mat. Nauk , vol.50 , Issue.3 , pp. 3-32
    • Bolsinov, A.V.1    Kozlov, V.V.2    Fomenko, A.T.3
  • 18
    • 85164651382 scopus 로고
    • A. V. Bolsinov, V. V. Kozlov, and A. T. Fomenko, "The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body ", Uspekhi Mat. Nauk 50:3 (1995), 3-32; English transl. in Russian Math. Surv. 50 (1995).
    • (1995) Russian Math. Surv. , vol.50
  • 20
    • 85164633871 scopus 로고    scopus 로고
    • English transl., Springer-Verlag, Berlin 1995
    • V. V. Kozlov, Symmetries, topology, and resonances in Hamiltonian mechanics, Udmurdian State University, Izhevsk 1995; English transl., Springer-Verlag, Berlin 1995.
  • 21
    • 0001999916 scopus 로고
    • Polynomial integrals of Hamiltonian systems
    • S.I. Pidkuǐko and A.M. Stepin, "Polynomial integrals of Hamiltonian systems", Dokl. Akad. Nauk SSSR 239:1 (1978), 50-53; English transl. in Sov. Math. Dokl. 19 (1978).
    • (1978) Dokl. Akad. Nauk SSSR , vol.239 , Issue.1 , pp. 50-53
    • Pidkuǐko, S.I.1    Stepin, A.M.2
  • 22
    • 85164643782 scopus 로고
    • S.I. Pidkuǐko and A.M. Stepin, "Polynomial integrals of Hamiltonian systems", Dokl. Akad. Nauk SSSR 239:1 (1978), 50-53; English transl. in Sov. Math. Dokl. 19 (1978).
    • (1978) Sov. Math. Dokl. , vol.19
  • 23
    • 0001155715 scopus 로고
    • On polynomial integrals of a system of interacting particles
    • V. V. Kozlov, "On polynomial integrals of a system of interacting particles", Dokl. Akad. Nauk SSSR 301:4 (1988), 785-788; English transl. in Sov. Math., Dokl. 38 (1989).
    • (1988) Dokl. Akad. Nauk SSSR , vol.301 , Issue.4 , pp. 785-788
    • Kozlov, V.V.1
  • 24
    • 85164647362 scopus 로고
    • V. V. Kozlov, "On polynomial integrals of a system of interacting particles", Dokl. Akad. Nauk SSSR 301:4 (1988), 785-788; English transl. in Sov. Math., Dokl. 38 (1989).
    • (1989) Sov. Math., Dokl. , vol.38


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.